Boundary Value Problems
Volume 2009 (2009), Article ID 873526, 15 pages
doi:10.1155/2009/873526
Research Article

Almost Periodic Viscosity Solutions of Nonlinear Parabolic Equations

Shilin Zhang and Daxiong Piao

School of Mathematical Sciences, Ocean University of China, Qingdao 266071, China

Received 26 March 2009; Accepted 9 June 2009

Academic Editor: Zhitao Zhang

Copyright © 2009 Shilin Zhang and Daxiong Piao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We generalize the comparison result 2007 on Hamilton-Jacobi equations to nonlinear parabolic equations, then by using Perron's method to study the existence and uniqueness of time almost periodic viscosity solutions of nonlinear parabolic equations under usual hypotheses.